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Finding the Fourth Proportional to 506,465.10, 698,820.75 and 280,066.86

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Solution

The fourth proportional to 506,465.10, 698,820.75 and 280,066.86 is: 386,436.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,465.10 : 698,820.75 = 280,066.86 : x
  2. Step 2: Convert to fraction form
    506,465.10/698,820.75 = 280,066.86/x
  3. Step 3: Cross multiply
    506,465.10x = 698,820.75 × 280,066.86
  4. Step 4: Simplify right side
    506,465.10x = 195,716,533,155.35
  5. Step 5: Solve for x
    x = 195,716,533,155.35/506,465.10
  6. Step 6: Final answer
    x = 386,436.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.